Question

If the given two triangles are similar, then .

• A. c × e = b × f
• B. c × f = a × d
• C. a × b = d × e

Answer 1

The correct option is A c × e = b × f


$\text{Since,}△ABC\sim △DEF$
$\Rightarrow \frac{AB}{DE}=\frac{BC}{EF}=\frac{CA}{FD}$
$\Rightarrow \frac{c}{f}=\frac{a}{d}=\frac{b}{e}$
$\text{Or,}\frac{c}{f}=\frac{b}{e}$
$\Rightarrow c\times e=b\times f$
Similarily,
$c\times d=a\times f$
$a\times e=b\times d$